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Finding the Third Proportional to 388,756 and 634,804

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Solution

The third proportional to 388,756 and 634,804 is: 1,036,578.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,756 : 634,804 = 634,804 : x
  2. Step 2: Convert to fraction form
    388,756/634,804 = 634,804/x
  3. Step 3: Cross multiply
    388,756x = 634,804 × 634,804
  4. Step 4: Simplify right side
    388,756x = 402,976,118,416
  5. Step 5: Solve for x
    x = 402,976,118,416/388,756
  6. Step 6: Final answer
    x = 1,036,578.52

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.